For Graduates.
The work of these courses is carried on by means of lectures, notes, and
the systematic reading of the standard authors in texts and in journals.
Only one of the courses D1 and D2 will be offered in 1916-1917.
Mathematics D1: Differential Geometry: Mathematics C1, prerequisite.—
The applications of the Differential and Integral Calculus to Geometry,
with special reference to the theory of the General Space Curve, the Surface,
and the Surface Curve. Hours by appointment. Professor Page.
Mathematics D2: Differential Equations: Mathematics C1, prerequisite.—
Ordinary and Partial Differential Equations. In the discussion of the
Ordinary Differential Equation particular attention is paid to the theory
of integration of such equations as admit of a known Transformation
Group, and the classic methods of integration are compared with those
which flow from the Theory of Continuous Groups. A similar method is
adopted in the study of the Linear Partial Differential Equation of the First
Order. As far as the time admits, the theories of integration of the Complete
System, as well as those of the General Partial Differential Equation
of the First and Second Orders, will be discussed. Hours by appointment.
Professor Page
Mathematics D3: Theory of Functions: Mathematics C1 prerequisite.—
Mathematical Analysis for advanced students. The treatment of the subject
is arranged under three heads, as follows:
(1) The design of the numbers of analysis and the laws of the operations
to which they are subject are studied after the methods of Dedekind
and Tannery, Cantor and Weierstrass, as introductory to the study of functions.
(2) The study of the Theory of Functions of a Real Variable, including
series, products, and continued fractions.
(3) The General Theory of Functions of a Complex Variable is
studied after the methods of Cauchy, Riemann, and Weierstrass.
Monday, Wednesday, Friday, 11-12. Professor Echols.
For summer-school courses in Mathematics, on which college credit
will be allowed, see p. 256.
